Stably free module

In mathematics, a stably free module is a module which is close to being free.

Definition

A module M over a ring R is stably free if there exist free modules F and G over R such that

$M\oplus F=G.\,$

Properties

• A module is stably free if and only if it possesses a finite free resolution.

See also

• Free object

References

• Serge Lang (1993). Algebra, 3rd ed.. Addison-Wesley. ISBN 0-201-55540-9.